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Functions and Limits - Set 10
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NUST Entrance Test
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Mathematics
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Functions and Limits
Set 10
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Mashaal Masha
Oct 05, 2022
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Choose the correct options for the following questions.
If $f(x)=x^{3}+2x^{2}-1$, what is the value of $\frac{f(a+h)-f(a)}{h}$=
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Difficulty: Easy
A:
$3h^{2}+(3a+2h)+a^{2}+3a$
B:
$h^{2}+(3a-h)2+2a^{2}+3a$
C:
$h^{2}+(2a+3)h+3a^{2}-4a$
D:
$h^{2}+(3a+2)h+3a^{2}+4a$
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In the function $f: p \rightarrow 3p+\frac{5}{p}$ what is the possible value of p whose image is 8?
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Difficulty: Easy
A:
1 and 5
B:
2 and 5
C:
1 and 5/3
D:
-1 and 3/5
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